Abstract: For a weakly nonlinear system described by Volterra series, if the nonlinear differential equation (NDE) model of the system is unique, the nonlinear auto-regressive with exogenous input ...

Abstract: In this paper, a class of boundary value problems of nonlinear fractional differential equations with φ-Laplacian operator is investigated. Based on the Schauder fixed point theorem, a new ...

The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field.

Nonlinear optics is the study of how intense light interacts with matter. The optical response of a material usually scales linearly with the amplitude of the electric field. At high powers, however, ...

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